Pith Number

pith:DTXYBKX4

pith:2025:DTXYBKX4TR5MD3TH4PXX3NEJNO

not attested not anchored not stored refs pending

On the Tur\'an number of the $G_{3\times 3}$ in linear hypergraphs

Jozsef Solymosi

arxiv:2504.16973 v3 · 2025-04-23 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DTXYBKX4TR5MD3TH4PXX3NEJNO}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T11:44:04.596329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cef80aafc9c7ac1ee67e3ef7db4896ba9347a8ae2ecc2d079ede8d1dc566912

Aliases

arxiv: 2504.16973 · arxiv_version: 2504.16973v3 · doi: 10.48550/arxiv.2504.16973 · pith_short_12: DTXYBKX4TR5M · pith_short_16: DTXYBKX4TR5MD3TH · pith_short_8: DTXYBKX4

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/DTXYBKX4TR5MD3TH4PXX3NEJNO \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 1cef80aafc9c7ac1ee67e3ef7db4896ba9347a8ae2ecc2d079ede8d1dc566912

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ebe800b4159cb2ee6381a36999c58e38936eb48b8b4954357fa53f6483b182b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-04-23T16:11:48Z",
    "title_canon_sha256": "6f2cfea12dcf093281e74120f9fd29a9b08553d56d4be32c43a84def404436ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.16973",
    "kind": "arxiv",
    "version": 3
  }
}